Each week, she exercises for at least 8 hours. She spends at most 5 hours on weight training. She spends at most 10 hours doing cardiovascular work.

Question

Lisa does a weekly exercise program consisting of cardiovascular work and weight training.

x- in hours the time she spends on weight training,

y- n hours time in cardiovascular work

(also show on a graph )

Answer 1

If the total is at least 8 hours, then x + y > 8 which can also be written as y > -x + 8. That means the boundary of the solution set is y = -x + 8 and we are looking for y values higher than the line.

If weight training as at most 5 hours, then x < 5 so that means the boundary is x = 5 and the solution set is to the left of that boundary.

If cardio is at most 10 hours, then y < 10 so that means the boundary is y = 10 and the solution set is below that boundary.

Putting these all together on the graph, we get the solution set in yellow below: